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Finding the Fourth Proportional to 1,006.98, 1,386.47 and 914.71

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Solution

The fourth proportional to 1,006.98, 1,386.47 and 914.71 is: 1,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.98 : 1,386.47 = 914.71 : x
  2. Step 2: Convert to fraction form
    1,006.98/1,386.47 = 914.71/x
  3. Step 3: Cross multiply
    1,006.98x = 1,386.47 × 914.71
  4. Step 4: Simplify right side
    1,006.98x = 1,268,222.88
  5. Step 5: Solve for x
    x = 1,268,222.88/1,006.98
  6. Step 6: Final answer
    x = 1,259.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.